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106064788369 is a prime number
BaseRepresentation
bin110001011000111110…
…1000011101110010001
3101010202211121111212011
41202301331003232101
53214210041211434
6120420412302521
710443245553151
oct1426175035621
9333684544764
10106064788369
1140a888983a1
1218680a71a41
13a004140b07
1451c26d6761
152b5b8bde64
hex18b1f43b91

106064788369 has 2 divisors, whose sum is σ = 106064788370. Its totient is φ = 106064788368.

The previous prime is 106064788307. The next prime is 106064788421. The reversal of 106064788369 is 963887460601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74494605969 + 31570182400 = 272937^2 + 177680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106064788369 is a prime.

It is a super-2 number, since 2×1060647883692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106064788169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53032394184 + 53032394185.

It is an arithmetic number, because the mean of its divisors is an integer number (53032394185).

Almost surely, 2106064788369 is an apocalyptic number.

It is an amenable number.

106064788369 is a deficient number, since it is larger than the sum of its proper divisors (1).

106064788369 is an equidigital number, since it uses as much as digits as its factorization.

106064788369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 106064788369 in words is "one hundred six billion, sixty-four million, seven hundred eighty-eight thousand, three hundred sixty-nine".